Informally, a manifold is a spacethat is "modeled on" Euclidean space. There are many different kinds of manifolds. In geometry and topology, all manifolds are topological … See more

The spherical Earth is navigated using flat maps or charts, collected in an atlas. Similarly, a … See more

A manifold with boundary is a manifold with an edge. For example, a sheet of paper is a 2-manifold with a 1-dimensional boundary. The boundary of an n {\displaystyle n} -manifold wi… See more

A single manifold can be constructed in different ways, each stressing a different aspect of the manifold, thereby leading to a slightly different viewpoint. See more